Benchmark
non-incremental/QF_NRA/20200911-Pine/1599122163787185000.smt2
These benchmarks were generated while developing the tool Pine [1], which uses
CVC4/Z3 to check inductiveness of invariants. The work is described in [2].
[1] https://github.com/izycheva/pine
[2] A.Izycheva, E.Darulova, H.Seidl, SAS'20, "Counterexample- and Simulation-Guided Floating-Point Loop Invariant Synthesis"
Loop:
u' := u + 0.01 * v
v' := v + 0.01 * (-0.5 * v - 9.81 * u)
Input ranges:
u in [0.0,0.0]
v in [2.0,3.0]
Invariant:
-1.0*u + 0.2*v + 0.89*u^2 + -0.11*u*v + 0.06*v^2 <= 1.2
and
u in [-0.6,1.9]
v in [-6.3,3.0]
Query: Loop and Invariant and not Invariant'
| Benchmark |
|---|
| Size | 1914 |
| Compressed Size | 929 |
| License |
Creative Commons Attribution 4.0 International
(CC-BY-4.0)
|
| Category | industrial |
| First Occurrence | 2021-07-18 |
| Generated By | Anastasiia Izycheva, Eva Darulova |
| Generated On | 2020-09-11 00:00:00 |
| Generator | Pine (using Z3 Python API) |
| Dolmen OK | 1 |
| strict Dolmen OK | 1 |
| check-sat calls | 1 |
| Status | unknown |
| Inferred Status | sat |
| Size | 1906 |
| Compressed Size | 936 |
| Max. Term Depth | 17 |
| Asserts | 1 |
| Declared Functions | 0 |
| Declared Constants | 4 |
| Declared Sorts | 0 |
| Defined Functions | 0 |
| Defined Recursive Functions | 0 |
| Defined Sorts | 0 |
| Constants | 0 |
| Declared Datatypes | 0 |
Symbols
not | 1 |
and | 6 |
= | 2 |
let | 8 |
/ | 20 |
+ | 10 |
- | 10 |
* | 20 |
<= | 4 |
>= | 6 |
| | | |
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2021
|
0.60 (4/10) |
CVC4 |
CVC4-sq-final_default |
unknown ❌
|
45.99670
|
45.97910
|
| |
cvc5 |
cvc5-fixed_default |
sat ✅
|
0.44225
|
0.44188
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.01983
|
0.00611
|
| |
UltimateEliminator |
UltimateEliminator+MathSAT-5.6.6_default |
unknown ❌
|
1200.10000
|
1203.65000
|
| |
Vampire |
vampire_smt_4.6-fixed_vampire_smtcomp |
unknown ❌
|
1200.04000
|
4665.44000
|
| |
YicesQS |
yices-QS-2021-06-13under10_default |
sat ✅
|
0.06959
|
0.06840
|
| |
Z3 |
z3-4.8.11_default |
sat ✅
|
0.01976
|
0.01985
|
| |
|
z3-4.8.8_default |
sat ✅
|
0.03585
|
0.03581
|
|
SMT-COMP 2022
|
0.11 (8/9) |
cvc5 |
cvc5-default-2022-07-02-b15e116-wrapped_sq |
sat ✅
|
0.06405
|
0.06452
|
| |
MathSAT |
MathSAT-5.6.8_default |
unknown ❌
|
1200.06000
|
1200.03000
|
| |
NRA-LS |
NRA-LS-FINAL_default |
sat ✅
|
0.13889
|
0.13895
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.02601
|
0.00825
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.03798
|
0.03794
|
| |
veriT |
veriT+raSAT+Redlog_default |
sat ✅
|
0.03741
|
0.03742
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
sat ✅
|
0.02005
|
0.02002
|
| |
Z3 |
z3-4.8.17_default |
sat ✅
|
0.01983
|
0.02170
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.28795
|
0.28802
|
|
SMT-COMP 2023
|
|
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
sat ✅
|
0.03010
|
0.03066
|
| |
NRA-LS |
cvc5-NRA-LS-sq_default |
sat ✅
|
0.05587
|
0.05584
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.01766
|
0.00636
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.01915
|
0.01913
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
sat ✅
|
0.01706
|
0.01700
|
| |
Z3alpha |
z3alpha_default |
sat ✅
|
0.02244
|
0.02265
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.28843
|
0.28851
|
| |
|
Z3++_sq_0526_default |
sat ✅
|
0.29107
|
0.29109
|
|
SMT-COMP 2024
|
0.20 (4/5) |
cvc5 |
cvc5 |
sat ✅
|
0.22793
|
0.12834
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.42126
|
0.43959
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.23791
|
0.13776
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.25394
|
0.15336
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.26726
|
0.16773
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
sat ✅
|
0.30326
|
0.17275
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.43790
|
0.43987
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.29913
|
0.17014
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.28365
|
0.15418
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.58445
|
0.46885
|
| |
Z3 |
Z3-alpha-base |
sat ✅
|
0.28378
|
0.16375
|
| |
|
z3siri-base |
sat ✅
|
0.26919
|
0.15099
|